Answer:
Graph B: Translate 6 units to the right so f(x-6)
Graph C: Translate 3 units to the left and go down 5 units so f(x+3) - 5
Graph D: Translate 7 units to the left so f(x+7)
Graph E: Translate 6 units upwards so f(x) + 6
Graph F: Translate 2 units to the right and 3 upwards so f(x-2) +3
Explanation:
This is just function transformations or function shifts.
If you wish to move a graph, f(x), to the left, add x by the units desired so f(x+c), where c is the units to the left.
If you wish to move the graph to the right, subtract x by the units desired so f(x-c), where c is the units to the right.
To move the graph up add the desired of units to the function.
If you want to shift upwards by a certain amount of units then f(x) + c, where c is the units upwards.
If you want to shift downwards by a certain amount of units then f(x) - c, where c is the units downwards.